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1330421224 = 231117612239
BaseRepresentation
bin100111101001100…
…1001110111101000
310102201102101211011
41033103021313220
510211041434344
6340003313304
744653252036
oct11723116750
93381371734
101330421224
11622a96180
1231167b834
131828298c2
14c899d556
157bbedd34
hex4f4c9de8

1330421224 has 96 divisors (see below), whose sum is σ = 2941660800. Its totient is φ = 557491200.

The previous prime is 1330421167. The next prime is 1330421227. The reversal of 1330421224 is 4221240331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1330421195 and 1330421204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330421227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5566497 + ... + 5566735.

It is an arithmetic number, because the mean of its divisors is an integer number (30642300).

Almost surely, 21330421224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330421224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470830400).

1330421224 is an abundant number, since it is smaller than the sum of its proper divisors (1611239576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1330421224 is a wasteful number, since it uses less digits than its factorization.

1330421224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1330421224 is about 36474.9396709576. The cubic root of 1330421224 is about 1099.8405344594.

Adding to 1330421224 its reverse (4221240331), we get a palindrome (5551661555).

The spelling of 1330421224 in words is "one billion, three hundred thirty million, four hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 61 68 88 122 136 187 239 244 374 478 488 671 748 956 1037 1342 1496 1912 2074 2629 2684 3721 4063 4148 5258 5368 7442 8126 8296 10516 11407 14579 14884 16252 21032 22814 29158 29768 32504 40931 44693 45628 58316 63257 81862 89386 91256 116632 126514 160369 163724 178772 247843 253028 320738 327448 357544 495686 506056 641476 695827 889319 991372 1282952 1391654 1778638 1982744 2726273 2783308 3557276 5452546 5566616 7114552 9782509 10905092 15118423 19565018 21810184 30236846 39130036 60473692 78260072 120947384 166302653 332605306 665210612 1330421224